What is the answer to (2x-7)^{3/4}+6=14 ?

The answer to (2x-7)^{3/4}+6=14 is x= 23/2

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(2x-7)^{3/4}+6=14

(2 x - 7)^{\frac{3}{4}} + 6 = 14

x = \frac{23}{2}

Decimal Notation

x = 11.5

Solution steps

(2 x - 7)^{\frac{3}{4}} + 6 = 14

Move

6

to the right side

(2 x - 7)^{\frac{3}{4}} = 8

Take both sides of the equation to the power of

4 : (2 x - 7)^{3} = 4096

(2 x - 7)^{3} = 4096

Solve

(2 x - 7)^{3} = 4096 : x = \frac{23}{2}

x = \frac{23}{2}

Verify Solutions:

x = \frac{23}{2}

True

The solution is

x = \frac{23}{2}

x + 5 - 2 = 5 - 2

3 + - x^{2} + 4 = x^{2} - 1

4 x = 2 x - 3

What is the answer to (2x-7)^{3/4}+6=14 ?
The answer to (2x-7)^{3/4}+6=14 is x= 23/2
Solve for x: (2x-7)^{3/4}+6=14
The solution is x= 23/2